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2289930240 = 21235134761
BaseRepresentation
bin1000100001111101…
…1001000000000000
312220120220111202010
42020133121000000
514142210231430
61015121052520
7110514041313
oct21037310000
95816814663
102289930240
11a75673534
1253aa87140
132a655a910
1417a1aa97a
15d6082cb0
hex887d9000

2289930240 has 416 divisors, whose sum is σ = 8190475776. Its totient is φ = 542638080.

The previous prime is 2289930233. The next prime is 2289930241. The reversal of 2289930240 is 420399822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2289930241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37539810 + ... + 37539870.

Almost surely, 22289930240 is an apocalyptic number.

2289930240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2289930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095237888).

2289930240 is an abundant number, since it is smaller than the sum of its proper divisors (5900545536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2289930240 is a wasteful number, since it uses less digits than its factorization.

2289930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2289930240 is about 47853.2155659366. The cubic root of 2289930240 is about 1318.0769057771.

The spelling of 2289930240 in words is "two billion, two hundred eighty-nine million, nine hundred thirty thousand, two hundred forty".